Number worksheet — GCSE Foundation

1.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

2.3.4 × 10⁵ is written as an ordinary number. Work out this number.

3.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

4.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

5.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

6.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

7.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

8.2/3 of an amount of money is £30. Work out the amount.

9.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

10.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

11.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

12.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

13.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

14.Round 0.006482 to 2 significant figures.

15.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.